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Finding the Fourth Proportional to 6,294, 9,441.08 and 2,190

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Solution

The fourth proportional to 6,294, 9,441.08 and 2,190 is: 3,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294 : 9,441.08 = 2,190 : x
  2. Step 2: Convert to fraction form
    6,294/9,441.08 = 2,190/x
  3. Step 3: Cross multiply
    6,294x = 9,441.08 × 2,190
  4. Step 4: Simplify right side
    6,294x = 20,675,965.20
  5. Step 5: Solve for x
    x = 20,675,965.20/6,294
  6. Step 6: Final answer
    x = 3,285.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.